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Re: [PATCH v1 01/20] softfloat: Implement float128_(min|minnum|minnummag


From: Alex Bennée
Subject: Re: [PATCH v1 01/20] softfloat: Implement float128_(min|minnum|minnummag|max|maxnum|maxnummag)
Date: Mon, 10 May 2021 10:57:16 +0100
User-agent: mu4e 1.5.13; emacs 28.0.50

David Hildenbrand <david@redhat.com> writes:

> On 01.10.20 15:15, Alex Bennée wrote:
>> David Hildenbrand <david@redhat.com> writes:
>> 
>>> On 30.09.20 18:10, Alex Bennée wrote:
>>>>
>>>> David Hildenbrand <david@redhat.com> writes:
>>>>
>>>>> Implementation inspired by minmax_floats(). Unfortuantely, we don't have
>>>>> any tests we can simply adjust/unlock.
>>>>>
>>>>> Cc: Aurelien Jarno <aurelien@aurel32.net>
>>>>> Cc: Peter Maydell <peter.maydell@linaro.org>
>>>>> Cc: "Alex Bennée" <alex.bennee@linaro.org>
>>>>> Signed-off-by: David Hildenbrand <david@redhat.com>
>>>>> ---
>>>>>   fpu/softfloat.c         | 100 ++++++++++++++++++++++++++++++++++++++++
>>>>>   include/fpu/softfloat.h |   6 +++
>>>>>   2 files changed, 106 insertions(+)
>>>>>
>>>>> diff --git a/fpu/softfloat.c b/fpu/softfloat.c
>>>>> index 9af75b9146..9463c5ea56 100644
>>>>> --- a/fpu/softfloat.c
>>>>> +++ b/fpu/softfloat.c
>>>>> @@ -621,6 +621,8 @@ static inline FloatParts float64_unpack_raw(float64 f)
>>>>>       return unpack_raw(float64_params, f);
>>>>>   }
>>>>>   +static void float128_unpack(FloatParts128 *p, float128 a,
>>>>> float_status *status);
>>>>> +
>>>>>   /* Pack a float from parts, but do not canonicalize.  */
>>>>>   static inline uint64_t pack_raw(FloatFmt fmt, FloatParts p)
>>>>>   {
>>>>> @@ -3180,6 +3182,89 @@ static FloatParts minmax_floats(FloatParts a, 
>>>>> FloatParts b, bool ismin,
>>>>>       }
>>>>>   }
>>>>
>>>> It would be desirable to share as much logic for this as possible with
>>>> the existing minmax_floats code. I appreciate at some point we end up
>>>> having to deal with fractions and we haven't found a good way to
>>>> efficiently handle dealing with FloatParts and FloatParts128 in the same
>>>> unrolled code, however:
>>>>
>>>>>   +static float128 float128_minmax(float128 a, float128 b, bool
>>>>> ismin, bool ieee,
>>>>> +                                bool ismag, float_status *s)
>>>>> +{
>>>>> +    FloatParts128 pa, pb;
>>>>> +    int a_exp, b_exp;
>>>>> +    bool a_less;
>>>>> +
>>>>> +    float128_unpack(&pa, a, s);
>>>>> +    float128_unpack(&pb, b, s);
>>>>> +
>>>>
>>>>  From here:
>>>>> +    if (unlikely(is_nan(pa.cls) || is_nan(pb.cls))) {
>>>>> +        /* See comment in minmax_floats() */
>>>>> +        if (ieee && !is_snan(pa.cls) && !is_snan(pb.cls)) {
>>>>> +            if (is_nan(pa.cls) && !is_nan(pb.cls)) {
>>>>> +                return b;
>>>>> +            } else if (is_nan(pb.cls) && !is_nan(pa.cls)) {
>>>>> +                return a;
>>>>> +            }
>>>>> +        }
>>>>> +
>>>>> +        /* Similar logic to pick_nan(), avoiding re-packing. */
>>>>> +        if (is_snan(pa.cls) || is_snan(pb.cls)) {
>>>>> +            s->float_exception_flags |= float_flag_invalid;
>>>>> +        }
>>>>> +        if (s->default_nan_mode) {
>>>>> +            return float128_default_nan(s);
>>>>> +        }
>>>>
>>>> to here is common logic - is there anyway we could share it?
>>>
>>> I can try to factor it out, similar to pickNaN() - passing weird boolean
>>> flags and such. It most certainly won't win in a beauty contest, that's
>>> for sure.
>>>>
>>>> Likewise I wonder if there is scope for a float_minmax_exp helper that
>>>> could be shared here?
>>>
>>> I'll try, but I have the feeling that it might make the code harder to
>>> read than actually help. Will give it a try.
>> Give it a try - if it really does become harder to follow then we'll
>> stick with the duplication however if we can have common code you'll
>> know at least the nan handling and minmax behaviour for float128 will be
>> partially tested by the 16/32/64 float code.
>
> (finally had time to look into this)
>
> What about something like this:
>

I was just about to look this morning but I see Richard has posted his
mega series:

  From: Richard Henderson <richard.henderson@linaro.org>
  Subject: [PATCH 00/72] Convert floatx80 and float128 to FloatParts
  Date: Fri,  7 May 2021 18:46:50 -0700
  Message-Id: <20210508014802.892561-1-richard.henderson@linaro.org>

which I think also includes the
float128_(min|minnum|minnummag|max|maxnum|maxnummag) functions. I'm
going to have a look at that first if that's ok.

>
>
> From dd6cf176c840fc34a095cb2a158032a994aca5ef Mon Sep 17 00:00:00 2001
> From: David Hildenbrand <david@redhat.com>
> Date: Tue, 29 Sep 2020 14:36:26 +0200
> Subject: [PATCH] softfloat: Implement
>  float128_(min|minnum|minnummag|max|maxnum|maxnummag)
> MIME-Version: 1.0
> Content-Type: text/plain; charset=UTF-8
> Content-Transfer-Encoding: 8bit
>
> Implementation inspired by minmax_floats(). Unfortuantely, we don't have
> any tests we can simply adjust/unlock.
>
> Cc: Aurelien Jarno <aurelien@aurel32.net>
> Cc: Peter Maydell <peter.maydell@linaro.org>
> Cc: "Alex Bennée" <alex.bennee@linaro.org>
> Cc: Richard Henderson <richard.henderson@linaro.org>
> Signed-off-by: David Hildenbrand <david@redhat.com>
> ---
>  fpu/softfloat.c         | 141 ++++++++++++++++++++++++++++++++--------
>  include/fpu/softfloat.h |   6 ++
>  2 files changed, 120 insertions(+), 27 deletions(-)
>
> diff --git a/fpu/softfloat.c b/fpu/softfloat.c
> index db7d3a39db..f1014f6d47 100644
> --- a/fpu/softfloat.c
> +++ b/fpu/softfloat.c
> @@ -525,6 +525,18 @@ typedef struct {
>      bool sign;
>  } FloatParts128;
>  +static inline FloatParts128 floatparts64_to_128(FloatParts a)
> +{
> +    FloatParts128 res = {
> +        .frac0 = a.frac,
> +        .exp = a.exp,
> +        .cls = a.cls,
> +        .sign = a.sign,
> +    };
> +
> +    return res;
> +}
> +
>  #define DECOMPOSED_BINARY_POINT    (64 - 2)
>  #define DECOMPOSED_IMPLICIT_BIT    (1ull << DECOMPOSED_BINARY_POINT)
>  #define DECOMPOSED_OVERFLOW_BIT    (DECOMPOSED_IMPLICIT_BIT << 1)
> @@ -621,6 +633,8 @@ static inline FloatParts float64_unpack_raw(float64 f)
>      return unpack_raw(float64_params, f);
>  }
>  +static void float128_unpack(FloatParts128 *p, float128 a,
> float_status *status);
> +
>  /* Pack a float from parts, but do not canonicalize.  */
>  static inline uint64_t pack_raw(FloatFmt fmt, FloatParts p)
>  {
> @@ -3093,6 +3107,14 @@ bfloat16 uint16_to_bfloat16(uint16_t a, float_status 
> *status)
>      return uint64_to_bfloat16_scalbn(a, 0, status);
>  }
>  +typedef enum MinMaxRes {
> +    MINMAX_RES_A,
> +    MINMAX_RES_B,
> +    MINMAX_RES_SILENCE_A,
> +    MINMAX_RES_SILENCE_B,
> +    MINMAX_RES_DEFAULT_NAN,
> +} MinMaxRes;
> +
>  /* Float Min/Max */
>  /* min() and max() functions. These can't be implemented as
>   * 'compare and pick one input' because that would mishandle
> @@ -3109,27 +3131,36 @@ bfloat16 uint16_to_bfloat16(uint16_t a, float_status 
> *status)
>   * minnummag() and maxnummag() functions correspond to minNumMag()
>   * and minNumMag() from the IEEE-754 2008.
>   */
> -static FloatParts minmax_floats(FloatParts a, FloatParts b, bool ismin,
> -                                bool ieee, bool ismag, float_status *s)
> +static MinMaxRes minmax_floats128(FloatParts128 a, FloatParts128 b, bool 
> ismin,
> +                                  bool ieee, bool ismag, float_status *s)
>  {
>      if (unlikely(is_nan(a.cls) || is_nan(b.cls))) {
> -        if (ieee) {
> -            /* Takes two floating-point values `a' and `b', one of
> -             * which is a NaN, and returns the appropriate NaN
> -             * result. If either `a' or `b' is a signaling NaN,
> -             * the invalid exception is raised.
> -             */
> -            if (is_snan(a.cls) || is_snan(b.cls)) {
> -                return pick_nan(a, b, s);
> -            } else if (is_nan(a.cls) && !is_nan(b.cls)) {
> -                return b;
> +        if (ieee && !is_snan(a.cls) && !is_snan(b.cls)) {
> +            if (is_nan(a.cls) && !is_nan(b.cls)) {
> +                return MINMAX_RES_B;
>              } else if (is_nan(b.cls) && !is_nan(a.cls)) {
> -                return a;
> +                return MINMAX_RES_A;
>              }
>          }
> -        return pick_nan(a, b, s);
> +
> +        /* Similar logic to pick_nan(), avoiding re-packing. */
> +        if (is_snan(a.cls) || is_snan(b.cls)) {
> +            s->float_exception_flags |= float_flag_invalid;
> +        }
> +        if (s->default_nan_mode) {
> +            return MINMAX_RES_DEFAULT_NAN;
> +        }
> +        if (pickNaN(a.cls, b.cls,
> +                    a.frac0 > b.frac0 ||
> +                    (a.frac0 == b.frac0 && a.frac1 > b.frac1) ||
> +                    (a.frac0 == b.frac0 && a.frac1 == b.frac1 &&
> +                     a.sign < b.sign), s)) {
> +            return is_snan(b.cls) ? MINMAX_RES_SILENCE_B : MINMAX_RES_B;
> +        }
> +        return is_snan(a.cls) ? MINMAX_RES_SILENCE_A : MINMAX_RES_A;
>      } else {
>          int a_exp, b_exp;
> +        bool a_less;
>            switch (a.cls) {
>          case float_class_normal:
> @@ -3160,23 +3191,44 @@ static FloatParts minmax_floats(FloatParts a, 
> FloatParts b, bool ismin,
>              break;
>          }
>  -        if (ismag && (a_exp != b_exp || a.frac != b.frac)) {
> -            bool a_less = a_exp < b_exp;
> -            if (a_exp == b_exp) {
> -                a_less = a.frac < b.frac;
> +        a_less = a_exp < b_exp;
> +        if (a_exp == b_exp) {
> +            a_less = a.frac0 < b.frac0;
> +            if (a.frac0 == b.frac0) {
> +                a_less = a.frac1 < b.frac1;
>              }
> -            return a_less ^ ismin ? b : a;
>          }
>  -        if (a.sign == b.sign) {
> -            bool a_less = a_exp < b_exp;
> -            if (a_exp == b_exp) {
> -                a_less = a.frac < b.frac;
> -            }
> -            return a.sign ^ a_less ^ ismin ? b : a;
> -        } else {
> -            return a.sign ^ ismin ? b : a;
> +        if (ismag &&
> +            (a_exp != b_exp || a.frac0 != b.frac0 || a.frac1 != b.frac1)) {
> +            return a_less ^ ismin ? MINMAX_RES_B : MINMAX_RES_A;
> +        } else if (a.sign == b.sign) {
> +            return a.sign ^ a_less ^ ismin ? MINMAX_RES_B : MINMAX_RES_A;
>          }
> +        return a.sign ^ ismin ? MINMAX_RES_B : MINMAX_RES_A;
> +    }
> +}
> +
> +static FloatParts minmax_floats(FloatParts a, FloatParts b, bool ismin,
> +                                bool ieee, bool ismag, float_status *s)
> +{
> +    FloatParts128 ta = floatparts64_to_128(a);
> +    FloatParts128 tb = floatparts64_to_128(b);
> +    MinMaxRes res = minmax_floats128(ta, tb, ismin, ieee, ismag, s);
> +
> +    switch(res) {
> +    case MINMAX_RES_A:
> +        return a;
> +    case MINMAX_RES_B:
> +        return b;
> +    case MINMAX_RES_SILENCE_A:
> +        return parts_silence_nan(a, s);
> +    case MINMAX_RES_SILENCE_B:
> +        return parts_silence_nan(b, s);
> +    case MINMAX_RES_DEFAULT_NAN:
> +        return parts_default_nan(s);
> +    default:
> +        g_assert_not_reached();
>      }
>  }
>  @@ -3233,6 +3285,41 @@ BF16_MINMAX(maxnummag, false, true, true)
>    #undef BF16_MINMAX
>  +#define F128_MINMAX(name, ismin, isiee, ismag)
> \
> +float128 float128_ ## name(float128 a, float128 b, float_status *s)     \
> +{                                                                       \
> +    FloatParts128 pa, pb;                                               \
> +    MinMaxRes res;                                                      \
> +                                                                        \
> +    float128_unpack(&pa, a, s);                                         \
> +    float128_unpack(&pb, b, s);                                         \
> +    res = minmax_floats128(pa, pb, ismin, isiee, ismag, s);             \
> +                                                                        \
> +    switch(res) {                                                       \
> +    case MINMAX_RES_A:                                                  \
> +        return a;                                                       \
> +    case MINMAX_RES_B:                                                  \
> +        return b;                                                       \
> +    case MINMAX_RES_SILENCE_A:                                          \
> +        return float128_silence_nan(a, s);                              \
> +    case MINMAX_RES_SILENCE_B:                                          \
> +        return float128_silence_nan(b, s);                              \
> +    case MINMAX_RES_DEFAULT_NAN:                                        \
> +        return float128_default_nan(s);                                 \
> +    default:                                                            \
> +        g_assert_not_reached();                                         \
> +    }                                                                   \
> +}
> +
> +F128_MINMAX(min, true, false, false)
> +F128_MINMAX(minnum, true, true, false)
> +F128_MINMAX(minnummag, true, true, true)
> +F128_MINMAX(max, false, false, false)
> +F128_MINMAX(maxnum, false, true, false)
> +F128_MINMAX(maxnummag, false, true, true)
> +
> +#undef F128_MINMAX
> +
>  /* Floating point compare */
>  static FloatRelation compare_floats(FloatParts a, FloatParts b, bool 
> is_quiet,
>                                      float_status *s)
> diff --git a/include/fpu/softfloat.h b/include/fpu/softfloat.h
> index a38433deb4..4fab2ef6f4 100644
> --- a/include/fpu/softfloat.h
> +++ b/include/fpu/softfloat.h
> @@ -1201,6 +1201,12 @@ float128 float128_muladd(float128, float128, float128, 
> int,
>  float128 float128_sqrt(float128, float_status *status);
>  FloatRelation float128_compare(float128, float128, float_status *status);
>  FloatRelation float128_compare_quiet(float128, float128, float_status 
> *status);
> +float128 float128_min(float128, float128, float_status *status);
> +float128 float128_max(float128, float128, float_status *status);
> +float128 float128_minnum(float128, float128, float_status *status);
> +float128 float128_maxnum(float128, float128, float_status *status);
> +float128 float128_minnummag(float128, float128, float_status *status);
> +float128 float128_maxnummag(float128, float128, float_status *status);
>  bool float128_is_quiet_nan(float128, float_status *status);
>  bool float128_is_signaling_nan(float128, float_status *status);
>  float128 float128_silence_nan(float128, float_status *status);
> -- 
> 2.30.2


-- 
Alex Bennée



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